Kjersti Solberg Eikrem, Eugenia Malinnikova
Published 2010-06-25Version 1
We study harmonic functions which admit a certain majorant in the unit ball in $\R^m $. We prove that when the majorant fulfills a doubling condition, the extremal growth or decay may occur only along small sets of radii, and we give precise estimates of these exceptional sets.
Journal: Math. Scand., 110, no. 2, 273-296, 2012
Moduli of Smoothness and Approximation on the Unit Sphere and the Unit Ball
Integration of monomials over the unit spere and unit ball in $R^n$
Exceptional sets of projections, unions of k-planes, and associated transforms
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